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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Evaluating Jacquet’s $\mathbf {\textrm {GL}(n)}$ Whittaker function
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by Kevin A. Broughan PDF
Math. Comp. 78 (2009), 1061-1072 Request permission


Algorithms for the explicit symbolic and numeric evaluation of Jacquet’s Whittaker function for the $GL(n,\mathbb {R})$ based generalized upper half-plane for $n\ge 2$, and an implementation for symbolic evaluation in the Mathematica package GL(n)pack, are described. This requires a comparison of the different definitions of Whittaker function which have appeared in the literature.
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Additional Information
  • Kevin A. Broughan
  • Affiliation: Department of Mathematics, University of Waikato, Hamilton, New Zealand
  • Email:
  • Received by editor(s): November 6, 2006
  • Received by editor(s) in revised form: March 3, 2008
  • Published electronically: August 28, 2008
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 78 (2009), 1061-1072
  • MSC (2000): Primary 33C15, 22E30, 11E57, 11E76
  • DOI:
  • MathSciNet review: 2476570